An experiment in randomized complete block design with four replications was conducted to compare the average daily gain in weight (ADG) of piglets given four doses of feed additive. However, the initial weights of piglets differed. Hence, the researchers conducted an Analysis of Covariance(ANACOVA) to adjust the final weights of piglets. 13. The concomitant variable and response variable of interest areA. feed additives, final weights of pigletsC. feed additives, ADG of pigletsB. initial weights of piglets, final weights of piglets D. initial weights of piglets, ADG of pigletsandrespectively.14. Which of the following is(are) necessary condition(s) for a valid ANACOVA?1. The ADG of piglets must be linearly dependent on the initial weights of piglets.II. The initial weight of piglets must be independent on the final weights of piglets.A. I onlyB. II onlyC. Both I and IID. Neither I nor II15. Which of the following is(are) the appropriate linear model(s) for the ANACOVA?1. Y¡j = µ + Tį + Pj + B (Xij − X) + EijII. Y¡j = µ + T¡ + ß(Xij − X) + EijA. I onlyB. II onlyC. Both I and IID. Neither I nor II

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Answered: 13. The concomitant variable and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An experiment in randomized complete block design with four replications was conducted to compare the average daily gain in weight (ADG) of piglets given four doses of feed additive. However, the initial weights of piglets differed. Hence, the researchers conducted an Analysis of Covariance (ANACOVA) to adjust the final weights of piglets.

13. The concomitant variable and response variable of interest are
A. feed additives, final weights of piglets
C. feed additives, ADG of piglets
B. initial weights of piglets, final weights of piglets D. initial weights of piglets, ADG of piglets
and
respectively.
14. Which of the following is(are) necessary condition(s) for a valid ANACOVA?
1. The ADG of piglets must be linearly dependent on the initial weights of piglets.
II. The initial weight of piglets must be independent on the final weights of piglets.
A. I only
B. II only
C. Both I and II
D. Neither I nor II
15. Which of the following is(are) the appropriate linear model(s) for the ANACOVA?
1. Y¡j = µ + Tį + Pj + B (Xij − X) + Eij
II. Y¡j = µ + T¡ + ß(Xij − X) + Eij
A. I only
B. II only
C. Both I and II
D. Neither I nor II

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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